Interested in learning more about its fans, the marketing office of the Arena Football League (AFL) conducted a survey at one of its games. The survey had 989 respondents, 759 males and 230 females. Out of the 989 total respondents, 196 stated that they had attended multiple AFL games. Of these 196 fans that had attended multiple games, 177 were male. Using this survey information, answer the following questions.
a. What is the probability that a randomly selected fan has attended multiple games?
b. Given that a randomly selected fan has attended multiple games, what is the probability of this person being male?
c. What is the probability of a randomly selected fan being male and having attended multiple games?
d. Given that a randomly selected fan is male, what is the probability that this person has attended multiple games?
e. What is the probability that a randomly selected fan is male or has attended multiple games?